Finding the Third Proportional to 24,647 and 53,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,647 : 53,445.50 = 53,445.50 : x
2. Step 2: Convert to fraction form
   24,647/53,445.50 = 53,445.50/x
3. Step 3: Cross multiply
   24,647x = 53,445.50 × 53,445.50
4. Step 4: Simplify right side
   24,647x = 2,856,421,470.25
5. Step 5: Solve for x
   x = 2,856,421,470.25/24,647
6. Step 6: Final answer
   x = 115,893.27